Mischievous child learning to beg (7)
I believe the answer is:
implore
'beg' is the definition.
('implore' can be a synonym of 'beg')
'mischievous child learning' is the wordplay.
'mischievous child' becomes 'imp' (I've seen this before).
'learning' becomes 'lore' (I've seen this before).
'imp'+'lore'='IMPLORE'
'to' is the link.
(Other definitions for implore that I've seen before include "Ask earnestly" , "Beg earnestly, entreat" , "Beg desperately" , "Beg earnestly, plead" , "Beg earnestly, beseech" .)